Aim of the applet

Graphical representation the operations of addition, subtraction, multiplication and division of complex numbers.

Input data

Drag the points Z1 and Z2 on the graph to change its value.

Output data

• The results of subtraction, addition, multiplication and division in different colors (green, blue, red and yellow, respectively).
• Modulus of Z₁
• Modulus of Z₂

First steps

• The imaginary unit is i = (0.1). Check i²= -1. Calculate i³,i⁴...
• Given the complex number z1 = (3.2) seeks z2 to z1 + z2 is a real number. Notes that in this case z1 * z2 is the |z1|².
• If real number is divided between other real number, the result is also real. Find other case in which the result z1/z2 is a real number (ie the second coordinate is 0).